Given the radius of 50 miles and the line joining the cities at (0, 56) and (58, 0), the transmitter signal can be picked during 59.24 miles of the drive.
<h3>How can the duration of signal reception be found?</h3>
Radius of broadcast of the transmitter = 50 miles
Location of starting point = 56 miles north of the transmitter
Location of destination city = 58 miles east of the transmitter
Therefore we have;
Slope of the line joining the two cities
= 56 ÷ (-58) = -0.966
Which gives the equation of the line as follows;
y = -0.966•x + 56
The equation of the circle is;


1.933156•x^2 - 108.192•x + 636 = 0
Which gives;
Therefore;
When x = 6.67, we have;
- y = -0.966 × 6.67 + 56 = 49.56
When x = 49.29, we have;
- y = -0.966 × 49.29 + 56 = 8.4
The length of the drive, during which the driver can pick the signal, <em>l</em>, is therefore;
l = √((49.56-8.4)^2 + (49.29-6.67)^2) = <u>59.24 miles</u>
- The length of the drive during which the signal is received is 59.24 miles
Learn more about the equation of a circle here:
brainly.com/question/502872
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Answer:
the 3rd one is the graph answer
32.6 0.61
+3.54 x 0.45
--------- ----------
36.14 305
+ 2440
12 = 12/1 = 24/2, 24/2+1/2=25/2 so 25/2, and it's in simplest form because 2 can't go into 25
Answer: $15.94
Step-by-step explanation:
Let r be your rate you get paid per hour normally. Let's set up this equation.
(30 * r) + 4(1.5 * r) = 573.83
30r + 6r = 573.83
36r = 573.83
r = 15.94 (rounded)
You get paid $15.94 hourly.